Is there still any hope for static binaries (games) that "just work" across distros?

Has anybody been able to build a statically linked binary that shows a Vulkan surface? I've put some context around this problem in the video. I understand that the vulkan driver has to be loaded dynamically - so it's more of a question whether a statically built app can reliably load and talk with it. I think it should be possible but haven't actually seen anyone make it work. I'm aware of "static-window9" by Andrew Kelley but sadly it doesn't work any more (at least on my Gentoo machine T_T).

(I'm also aware of AppImages but I don't think they're the "proper" solution to this problem - more like a temporary bandaid - better than Docker but still far from perfect)